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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^(-1/2)
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Integral of sin²xcos²x
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Integral of x*2^(-x)
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Integral of y^(-2/3)
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Identical expressions
- one /(x^ three - two x^2+x)
- 1 divide by (x cubed minus 2x squared plus x)
- one divide by (x to the power of three minus two x squared plus x)
- 1/(x3-2x2+x)
- 1/x3-2x2+x
- 1/(x³-2x²+x)
- 1/(x to the power of 3-2x to the power of 2+x)
- 1/x^3-2x^2+x
- 1 divide by (x^3-2x^2+x)
- 1/(x^3-2x^2+x)dx
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Similar expressions
- 1/(x^3-2x^2-x)
- 1/(x^3+2x^2+x)
Integral of 1/(x^3-2x^2+x) dx
The solution
You have entered
[src]
oo / | | 1 | ------------- dx | 3 2 | x - 2*x + x | / -oo
$$\int\limits_{-\infty}^{\infty} \frac{1}{x + \left(x^{3} - 2 x^{2}\right)}\, dx$$
Integral(1/(x^3 - 2*x^2 + x), (x, -oo, oo))
The answer (Indefinite)
[src]
/ | | 1 1 | ------------- dx = C - ------ - log(-1 + x) + log(x) | 3 2 -1 + x | x - 2*x + x | /
$$\int \frac{1}{x + \left(x^{3} - 2 x^{2}\right)}\, dx = C + \log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
The graph
Use the examples entering the upper and lower limits of integration.